The drawing shows an ideal gas confined to a cylinder by a massless piston that is attached to an ideal spring. Outside the cylinder is a vacuum. The cross-sectional area of the piston is A=2.5 x 10^-3 m^2. The initial pressure, volume, and temperature of the gas are, respectively, p0, v0= 6.00 x 10^-4 m^3 and t0=273 K , the spring is initially stretched by 0.095 m with respect to its unstrained length. The gas is heated, so that its final pressure, volume, and temperature are Pf, Vf, and Tf and the spring is stretched by an amount of 0.12 meters with respect to its unstrained length. What is the final temperature of the gas? The image illustrates a cylindrical container with a movable piston at the top. Inside the cylinder, there is a spring. The label "Piston" is pointing to the disk at the top, indicating that it is the component that can move up and down within the cylinder.This setup is often used to demonstrate principles of physics, such as pressure, volume, and the behavior of gases. The presence of the spring suggests that it could be part of an experiment related to Hooke's Law, demonstrating how force is related to spring displacement. The container and piston system can also be used to show how gas compresses and expands under pressure.

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College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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The drawing shows an ideal gas confined to a cylinder by a massless piston that is attached to an ideal spring. Outside the cylinder is a vacuum. The cross-sectional area of the piston is A=2.5 x 10^-3 m^2. The initial pressure, volume, and temperature of the gas are, respectively, p0, v0= 6.00 x 10^-4 m^3 and t0=273 K , the spring is initially stretched by 0.095 m with respect to its unstrained length. The gas is heated, so that its final pressure, volume, and temperature are Pf, Vf, and Tf and the spring is stretched by an amount of 0.12 meters with respect to its unstrained length. What is the final temperature of the gas?

The image illustrates a cylindrical container with a movable piston at the top. Inside the cylinder, there is a spring. The label "Piston" is pointing to the disk at the top, indicating that it is the component that can move up and down within the cylinder.

This setup is often used to demonstrate principles of physics, such as pressure, volume, and the behavior of gases. The presence of the spring suggests that it could be part of an experiment related to Hooke's Law, demonstrating how force is related to spring displacement. The container and piston system can also be used to show how gas compresses and expands under pressure.

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